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authorupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
committerupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
commit554fd8c5195424bdbcabf5de30fdc183aba391bd (patch)
tree976dc5ab7fddf506dadce60ae936f43f58787092 /libgo/go/container/heap
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Diffstat (limited to 'libgo/go/container/heap')
-rw-r--r--libgo/go/container/heap/heap.go102
-rw-r--r--libgo/go/container/heap/heap_test.go166
2 files changed, 268 insertions, 0 deletions
diff --git a/libgo/go/container/heap/heap.go b/libgo/go/container/heap/heap.go
new file mode 100644
index 000000000..4435a57c4
--- /dev/null
+++ b/libgo/go/container/heap/heap.go
@@ -0,0 +1,102 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// This package provides heap operations for any type that implements
+// heap.Interface.
+//
+package heap
+
+import "sort"
+
+// Any type that implements heap.Interface may be used as a
+// min-heap with the following invariants (established after
+// Init has been called):
+//
+// !h.Less(j, i) for 0 <= i < h.Len() and j = 2*i+1 or 2*i+2 and j < h.Len()
+//
+type Interface interface {
+ sort.Interface
+ Push(x interface{})
+ Pop() interface{}
+}
+
+
+// A heaper must be initialized before any of the heap operations
+// can be used. Init is idempotent with respect to the heap invariants
+// and may be called whenever the heap invariants may have been invalidated.
+// Its complexity is O(n) where n = h.Len().
+//
+func Init(h Interface) {
+ // heapify
+ n := h.Len()
+ for i := n/2 - 1; i >= 0; i-- {
+ down(h, i, n)
+ }
+}
+
+
+// Push pushes the element x onto the heap. The complexity is
+// O(log(n)) where n = h.Len().
+//
+func Push(h Interface, x interface{}) {
+ h.Push(x)
+ up(h, h.Len()-1)
+}
+
+
+// Pop removes the minimum element (according to Less) from the heap
+// and returns it. The complexity is O(log(n)) where n = h.Len().
+// Same as Remove(h, 0).
+//
+func Pop(h Interface) interface{} {
+ n := h.Len() - 1
+ h.Swap(0, n)
+ down(h, 0, n)
+ return h.Pop()
+}
+
+
+// Remove removes the element at index i from the heap.
+// The complexity is O(log(n)) where n = h.Len().
+//
+func Remove(h Interface, i int) interface{} {
+ n := h.Len() - 1
+ if n != i {
+ h.Swap(i, n)
+ down(h, i, n)
+ up(h, i)
+ }
+ return h.Pop()
+}
+
+
+func up(h Interface, j int) {
+ for {
+ i := (j - 1) / 2 // parent
+ if i == j || h.Less(i, j) {
+ break
+ }
+ h.Swap(i, j)
+ j = i
+ }
+}
+
+
+func down(h Interface, i, n int) {
+ for {
+ j1 := 2*i + 1
+ if j1 >= n {
+ break
+ }
+ j := j1 // left child
+ if j2 := j1 + 1; j2 < n && !h.Less(j1, j2) {
+ j = j2 // = 2*i + 2 // right child
+ }
+ if h.Less(i, j) {
+ break
+ }
+ h.Swap(i, j)
+ i = j
+ }
+}
diff --git a/libgo/go/container/heap/heap_test.go b/libgo/go/container/heap/heap_test.go
new file mode 100644
index 000000000..89d444dd5
--- /dev/null
+++ b/libgo/go/container/heap/heap_test.go
@@ -0,0 +1,166 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package heap
+
+import (
+ "testing"
+ "container/vector"
+)
+
+
+type myHeap struct {
+ // A vector.Vector implements sort.Interface except for Less,
+ // and it implements Push and Pop as required for heap.Interface.
+ vector.Vector
+}
+
+
+func (h *myHeap) Less(i, j int) bool { return h.At(i).(int) < h.At(j).(int) }
+
+
+func (h *myHeap) verify(t *testing.T, i int) {
+ n := h.Len()
+ j1 := 2*i + 1
+ j2 := 2*i + 2
+ if j1 < n {
+ if h.Less(j1, i) {
+ t.Errorf("heap invariant invalidated [%d] = %d > [%d] = %d", i, h.At(i), j1, h.At(j1))
+ return
+ }
+ h.verify(t, j1)
+ }
+ if j2 < n {
+ if h.Less(j2, i) {
+ t.Errorf("heap invariant invalidated [%d] = %d > [%d] = %d", i, h.At(i), j1, h.At(j2))
+ return
+ }
+ h.verify(t, j2)
+ }
+}
+
+
+func TestInit0(t *testing.T) {
+ h := new(myHeap)
+ for i := 20; i > 0; i-- {
+ h.Push(0) // all elements are the same
+ }
+ Init(h)
+ h.verify(t, 0)
+
+ for i := 1; h.Len() > 0; i++ {
+ x := Pop(h).(int)
+ h.verify(t, 0)
+ if x != 0 {
+ t.Errorf("%d.th pop got %d; want %d", i, x, 0)
+ }
+ }
+}
+
+
+func TestInit1(t *testing.T) {
+ h := new(myHeap)
+ for i := 20; i > 0; i-- {
+ h.Push(i) // all elements are different
+ }
+ Init(h)
+ h.verify(t, 0)
+
+ for i := 1; h.Len() > 0; i++ {
+ x := Pop(h).(int)
+ h.verify(t, 0)
+ if x != i {
+ t.Errorf("%d.th pop got %d; want %d", i, x, i)
+ }
+ }
+}
+
+
+func Test(t *testing.T) {
+ h := new(myHeap)
+ h.verify(t, 0)
+
+ for i := 20; i > 10; i-- {
+ h.Push(i)
+ }
+ Init(h)
+ h.verify(t, 0)
+
+ for i := 10; i > 0; i-- {
+ Push(h, i)
+ h.verify(t, 0)
+ }
+
+ for i := 1; h.Len() > 0; i++ {
+ x := Pop(h).(int)
+ if i < 20 {
+ Push(h, 20+i)
+ }
+ h.verify(t, 0)
+ if x != i {
+ t.Errorf("%d.th pop got %d; want %d", i, x, i)
+ }
+ }
+}
+
+
+func TestRemove0(t *testing.T) {
+ h := new(myHeap)
+ for i := 0; i < 10; i++ {
+ h.Push(i)
+ }
+ h.verify(t, 0)
+
+ for h.Len() > 0 {
+ i := h.Len() - 1
+ x := Remove(h, i).(int)
+ if x != i {
+ t.Errorf("Remove(%d) got %d; want %d", i, x, i)
+ }
+ h.verify(t, 0)
+ }
+}
+
+
+func TestRemove1(t *testing.T) {
+ h := new(myHeap)
+ for i := 0; i < 10; i++ {
+ h.Push(i)
+ }
+ h.verify(t, 0)
+
+ for i := 0; h.Len() > 0; i++ {
+ x := Remove(h, 0).(int)
+ if x != i {
+ t.Errorf("Remove(0) got %d; want %d", x, i)
+ }
+ h.verify(t, 0)
+ }
+}
+
+
+func TestRemove2(t *testing.T) {
+ N := 10
+
+ h := new(myHeap)
+ for i := 0; i < N; i++ {
+ h.Push(i)
+ }
+ h.verify(t, 0)
+
+ m := make(map[int]bool)
+ for h.Len() > 0 {
+ m[Remove(h, (h.Len()-1)/2).(int)] = true
+ h.verify(t, 0)
+ }
+
+ if len(m) != N {
+ t.Errorf("len(m) = %d; want %d", len(m), N)
+ }
+ for i := 0; i < len(m); i++ {
+ if !m[i] {
+ t.Errorf("m[%d] doesn't exist", i)
+ }
+ }
+}